LCM for 9 and 16
"Least Common Multiple" Calculator
What's the Least Common Multiple (LCM) of 9 and 16?
(One hundred forty-four)
Finding LCM for 9 and 16 using GCF's of these numbers
The first method to find LCM for numbers 9 and 16 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 9 and 16 is 1, so
LCM = (9 × 16) ÷ 1
LCM = 144 ÷ 1
LCM = 144
Finding LCM for 9 and 16 by Listing Multiples
The second method to find LCM for numbers 9 and 16 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, 153, 162
Multiples of 16: 16, 32, 48, 64, 80, 96, 112, 128, 144, 160, 176
So the LCM for 9 and 16 is 144
Finding LCM for 9 and 16 by Prime Factorization
Another method to find LCM for numbers 9 and 16 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 9: 3, 3 (exponent form: 32)
All Prime Factors of 16: 2, 2, 2, 2 (exponent form: 24)
32 × 24 = 144
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
About "Least Common Multiple" Calculator
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers
"Least Common Multiple" Calculator
LCM Table
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What's the Least Common Multiple (LCM) of 9 and 16?
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- Наименьшее общее кратное 9 и 16